Question
$$5x\cdot7x-12x\cdot14 = 6$$
Answer
$$ \begin{matrix}x_1 = \dfrac{ 12 }{ 5 }-\dfrac{\sqrt{ 7266 }}{ 35 } & x_2 = \dfrac{ 12 }{ 5 }+\dfrac{\sqrt{ 7266 }}{ 35 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 5x\cdot7x-12x\cdot14 &= 6&& \text{move all terms to the left hand side } \\[1 em]35x^2-168x-6 &= 0&& \\[1 em] \end{aligned} $$
$ 35x^{2}-168x-6 = 0 $ is a quadratic equation.
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